We introduce spatially explicit stochastic processes to model multispecies host-symbiont interactions. The host environment is static, modeled by the infinite percolation cluster of site percolation. Symbionts evolve on the infinite cluster through contact or voter type interactions, where each host may be infected by a colony of symbionts. In the presence of a single symbiont species, the condition for invasion as a function of the density of the habitat of hosts and the maximal size of the colonies is investigated in details. In the presence of multiple symbiont species, it is proved that the community of symbionts clusters in two dimensions whereas symbiont species may coexist in higher dimensions

Bertacchi, D., Lanchier, N., Zucca, F. (2011). Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions. THE ANNALS OF APPLIED PROBABILITY, 21(4), 1215-1252 [10.1214/10-AAP734].

Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions

BERTACCHI, DANIELA;
2011

Abstract

We introduce spatially explicit stochastic processes to model multispecies host-symbiont interactions. The host environment is static, modeled by the infinite percolation cluster of site percolation. Symbionts evolve on the infinite cluster through contact or voter type interactions, where each host may be infected by a colony of symbionts. In the presence of a single symbiont species, the condition for invasion as a function of the density of the habitat of hosts and the maximal size of the colonies is investigated in details. In the presence of multiple symbiont species, it is proved that the community of symbionts clusters in two dimensions whereas symbiont species may coexist in higher dimensions
Articolo in rivista - Articolo scientifico
Contact process; voter model; site percolation; logistic growth; branching random walks; random walks; host; symbiont; infrapopulation; metapopulation; infracommunity; component community
English
2011
21
4
1215
1252
open
Bertacchi, D., Lanchier, N., Zucca, F. (2011). Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions. THE ANNALS OF APPLIED PROBABILITY, 21(4), 1215-1252 [10.1214/10-AAP734].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/26701
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